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We investigate some modifications of the two-dimensional sampling series with a Gaussian function for wider classes of bandlimited functions including unbounded entire functions on R 2 and analytic functions on a bivariate strip. The first modification is given for the twodimensional version of the Whittaker-Kotelnikov-Shannon sampling (classical sampling) and the second is given for two-dimensional sampling involving values of all partial derivatives of order α ≤ 2 (Hermite sampling). Thesedoi:10.1093/imanum/drv022 fatcat:y7cdbdy5pndchnujwlveddi5au